FLORIDA Pre-Algebra Teacher’s Guide Vol. A

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Use this guide to accompany Lesson 2.02, Semester A. Addition and Subtraction Equations LESSON GOALS • Solve problems by writing and solving equations in the form x + p = q. FLORIDA STANDARDS • MAFS.8.EE.3.7b. Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms. PACING One class period, approximately 60 minutes CONTENT BACKGROUND In Lesson 2.02, students solve equations in the form x + p = q, where p and q are rational numbers. If p is a negative number, the equation may take the form x – p = q. These equations may be solved by substituting values for x until the result is a true equation. A more efficient method, however, is to use properties of equality to isolate the variable. The addition property of equality can be applied to an equation in the form x – p = q by adding p to both sides of the equation. This isolates x on one side of the equation, while a constant remains on the other side and is the solution of the equation. The solution is then checked by substituting it for x in the original equation. Similarly, the subtraction property of equality can be used to solve an addition equation. In Lesson 2.03, students build on their ability to solve onestep addition and subtraction equations by solving equations, which they must first simplify. One way to simplify is to combine like terms. Some equations may also require applying the distributive property, which often leads to having to combine like terms. Once simplified, the equations can be solved as one- step equations. In later lessons, students will write and solve addition and subtraction equations to solve real-world problems. KEYWORDS Students can preview definitions of keywords hyperlinked throughout the lesson. • addition property of equality • equation • equivalent equations • inverse operations • solution • solve • substitution property of equality • subtraction property of equality MATERIALS • Reference Guide pages 51–55 • Practice Activity book pages 30–31 • overview and Toolkit presentations ADDITIoN AND SUbTR AcTIoN EqUATIoNS 63

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